Reversible complex Henon maps

Jordan, C. R.; Jordan, D. A. and Jordan, J. H. (2002). Reversible complex Henon maps. Experimental Mathematics, 11(3) pp. 339–347.

URL:	http://www.emis.ams.org/journals/EM/expmath/volume...
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Abstract

We identify and investigate a class of complex H´enon maps H : C² → C² that are reversible, that is, each H can be factorized as RU where R² = U² = Id_c₂ . Fixed points and periodic points of order two or three are classified in terms of symmetry, with respect to R or U, and as either elliptic or saddle points. We report on experimental investigation, using a Java applet, of the bounded orbits of H.

Item Type:	Journal Item
Copyright Holders:	2002 A K Peters, Ltd.
ISSN:	1058-6458
Extra Information:	MR number MR1959746
Keywords:	H´enon map; reversibility; fixed points; periodic points; bounded orbits; ellipticity
Academic Unit/School:	Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics Faculty of Science, Technology, Engineering and Mathematics (STEM)
Related URLs:	http://www.emis.ams.org/journals/EM/expm...
Item ID:	31536
Depositing User:	Camilla Jordan
Date Deposited:	10 Feb 2012 16:44
Last Modified:	04 Oct 2016 11:12
URI:	http://oro.open.ac.uk/id/eprint/31536
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